mersenneforum.org  

Go Back   mersenneforum.org > Prime Search Projects > And now for something completely different

Reply
 
Thread Tools
Old 2021-01-27, 16:13   #1
Puzzle-Peter
 
Puzzle-Peter's Avatar
 
Jun 2009

68310 Posts
Plus First titanic septuplet

Hi folks,


Code:
6527857976181824068992954643835694152758237019621735794948630093353336346444314578259582354585710855994307682737795442832125943401558879429194267031660381989716139241076371879146441315760418319872828561352677668767
1053723486511718558339089252445263773938186288150981580244335287683233068859938146588878476184881280868412424826182271496440436727784955105445771221485902895990027424280489401038701236414000872718491439818091469396
7304022822631528546780463820548491458411079145254080730147373094640929014344061934952856686212476868492409708996478326911807622536628173799515250408676132841379612953085777057056143813041528304824344397034074951630
7849117807594366497569182520540434297558948186914404301799722681684515676195709095022274970314090528557131542557895182774819105217442760710517443049165534373742055263087492019855106882576413414056168714720625018176
8437441603278644196375616672481894410777389981443144241700543513545788015856486646285507126439158806149011698515665493114050189281
+1984419776555481*

(779335438037760160496591507183907769655856062999157556185939042593867827082091682481915363252420707043997349878578830309827188551771729543839005051107813891838035145375992949256064827070099991791479702094701476704
981442982291994293141771303874449576320219094208869801645463893226762267578243532564011056079611811860250461944113550775186726229991886965067672281675661441566894667464674398174394287003279554694237312956499172449
231931403376943570561885941668250654443056598233820766743806885392135242023171851812491738030323595846283298894505608970091375282873125077679924289474552940063830695017245881769845421776462807174597476947220731806
896503488271568278727091992063681108887922290146260410039855596704571630002796908632898154383539527668412881349229422969207362850867073216433419806135035650097846083962056375611351006095997577879489878679184413085
16512423315733977854074167299139642606490536607385570837818017825394467317266921734988640613075687125125595165728201546828770680483130)+d

with d=0, 2, 6, 8, 12, 18, 20 should be the first known septuplet with more than 1000 decimal digits. I did not find a shorter way to describe the numbers.

Last fiddled with by VBCurtis on 2021-01-27 at 16:28 Reason: VBCurtis: added code tags
Puzzle-Peter is offline   Reply With Quote
Old 2021-01-27, 17:38   #2
Batalov
 
Batalov's Avatar
 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

222568 Posts
Default

Quote:
Originally Posted by Puzzle-Peter View Post
...with d=0, 2, 6, 8, 12, 18, 20 should be the first known septuplet with more than 1000 decimal digits.
I did not find a shorter way to describe the numbers.
It is easy.
113225039190926127209 * 2339#/57057 + 1 + d

Congratulations!
Batalov is offline   Reply With Quote
Old 2021-01-27, 17:59   #3
Puzzle-Peter
 
Puzzle-Peter's Avatar
 
Jun 2009

12538 Posts
Default

Thanks!
How do you find the short description?

Last fiddled with by Puzzle-Peter on 2021-01-27 at 17:59
Puzzle-Peter is offline   Reply With Quote
Old 2021-01-27, 18:23   #4
Batalov
 
Batalov's Avatar
 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

2·3·5·313 Posts
Thumbs up

You do a few gcd()'s of the base number +- 100 or so, with the usual suspects (primorials, I took a guess that it would be based around 2341#), and then cancel unneeded terms.

Did you use rieMiner or something like it?

You should submit to UTM. 1000 digits - and you are in :-)
Batalov is offline   Reply With Quote
Old 2021-01-27, 19:07   #5
Puzzle-Peter
 
Puzzle-Peter's Avatar
 
Jun 2009

683 Posts
Default

I'll give it a better try next time. Chris Caldwell does not like unnecessarily long descriptions.

I used a tweaked version of Robert Gerbicz' Polysieve for sieving and PFGW for testing. Primo for the final certification.
Puzzle-Peter is offline   Reply With Quote
Old 2021-01-27, 19:11   #6
mart_r
 
mart_r's Avatar
 
Dec 2008
you know...around...

32×71 Posts
Default

Contfracs on p/q# with q# ~ p should also work wonders in finding a shorter representation.

Congrats on the titanic septuplet!

Does anyone have an ETA on the first 24-tuplet?

Last fiddled with by mart_r on 2021-01-27 at 19:14
mart_r is offline   Reply With Quote
Old 2021-01-31, 08:36   #7
Cybertronic
 
Cybertronic's Avatar
 
Jan 2007
Germany

4548 Posts
Default

Herzlichen Gl├╝ckwunsch , lieber Peter !!!

Wahnsinn, da kam er doch noch relativ vorzeitig !


Cybertronic is offline   Reply With Quote
Old 2021-01-31, 09:26   #8
rudy235
 
rudy235's Avatar
 
Jun 2015
Vallejo, CA/.

24·61 Posts
Default

Quote:
Originally Posted by Puzzle-Peter View Post
I'll give it a better try next time. Chris Caldwell does not like unnecessarily long descriptions.

I used a tweaked version of Robert Gerbicz' Polysieve for sieving and PFGW for testing. Primo for the final certification.
The description given By Sergei is very concise. Why don't you present it to UTM with that description?

Ahh! Congratulations BTW.
rudy235 is offline   Reply With Quote
Old 2021-01-31, 09:30   #9
rudy235
 
rudy235's Avatar
 
Jun 2015
Vallejo, CA/.

3D016 Posts
Default

Quote:
Originally Posted by mart_r View Post
Contfracs on p/q# with q# ~ p should also work wonders in finding a shorter representation.

Congrats on the titanic septuplet!

Does anyone have an ETA on the first 24-tuplet?
12 12 2121 @12:21 GMT (I meant Titanic 24-tuplet)

Last fiddled with by rudy235 on 2021-01-31 at 09:32
rudy235 is offline   Reply With Quote
Old 2021-02-01, 17:40   #10
Puzzle-Peter
 
Puzzle-Peter's Avatar
 
Jun 2009

683 Posts
Default

Quote:
Originally Posted by rudy235 View Post
The description given By Sergei is very concise. Why don't you present it to UTM with that description?

Ahh! Congratulations BTW.

I did upload the septuplet in Sergeis notation.


Thanks
Puzzle-Peter is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
The First Titanic Primes rudy235 Miscellaneous Math 16 2019-09-21 03:37
Titanic questions LaurV Hardware 34 2015-10-03 03:17
Top Ten Titanic Tussle petrw1 PrimeNet 14 2007-11-02 19:46
401 titanic primes found! & New Statistics for our members SlashDude 15k Search 3 2004-01-19 04:33
316 titanic primes found! & Statistics of our 18 members TTn 15k Search 0 2003-05-29 09:43

All times are UTC. The time now is 12:33.

Sat Apr 17 12:33:12 UTC 2021 up 9 days, 7:14, 0 users, load averages: 2.10, 2.23, 2.13

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.